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Simplifying 8 + -2(x + 5) = 5 + 3(2x + 4) Reorder the terms: 8 + -2(5 + x) = 5 + 3(2x + 4) 8 + (5 * -2 + x * -2) = 5 + 3(2x + 4) 8 + (-10 + -2x) = 5 + 3(2x + 4) Combine like terms: 8 + -10 = -2 -2 + -2x = 5 + 3(2x + 4) Reorder the terms: -2 + -2x = 5 + 3(4 + 2x) -2 + -2x = 5 + (4 * 3 + 2x * 3) -2 + -2x = 5 + (12 + 6x) Combine like terms: 5 + 12 = 17 -2 + -2x = 17 + 6x Solving -2 + -2x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + -2x + -6x = 17 + 6x + -6x Combine like terms: -2x + -6x = -8x -2 + -8x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -8x = 17 + 0 -2 + -8x = 17 Add '2' to each side of the equation. -2 + 2 + -8x = 17 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 17 + 2 -8x = 17 + 2 Combine like terms: 17 + 2 = 19 -8x = 19 Divide each side by '-8'. x = -2.375 Simplifying x = -2.375
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